Answer: x=3.537715
Step-by-step explanation:
5x+3=300
5x+3+−3= 300+ −3
5x=297
Step 2: Solve Exponent.
5x=297
x=3.537715
Hope this helps :)
X=-1 and y=5
As when u replace the values x will give you negative 1 and when u replace negative 1 in y=-5x you get 5
Standard form is another way of saying slope-intercept form. The equation you have there is in point-slope form, so we must convert this to slope-intercept form to get our final answer.
In point-slope form (y - k = m(x - h)) k is the y-value, h is the x-value, and m is the slope. All we must do is change your equation's form into standard form, or slope-intercept form which looks like this: (y = mx + b), where m is the slope and b is the y-intercept.
Convert this equation y + 1 = 2/3(x + 4) into standard/slope-intercept form.
y + 1 = 2/3(x + 4)
y + 1 = 2/3x + 2.666 Here we multiplied 2/3 by x and 4 since x + 4 is in parenthesis next to 2/3.
y + 1 - 1 = 2/3x + 2 2/3 - 1 Now we want to get y by itself so the form will look like y = mx + b, so we subtract the 1 from both sides of the equation. (2 2/3 is a mixed fraction that is equal to 2/3*4.)
y = 2/3x + 1 2/3
This is our final answer since it is in the standard, or slope-intercept form. Hope this made sense! If you have any questions please ask.
1
Rearrange terms
2
Find common denominator
3
Combine fractions with a common denominator
4
Multiply the numbers
5
Add
3
to both sides of the equation
6
Simplify
7
Multiply all terms by the same value to eliminate fraction denominators
8
Cancel multiplied terms that are in the denominator
9
Multiply the numbers
10
Subtract
11x
from both sides of the equation
11
Simplify
12
Divide both sides of the equation by the same term
13
Simplify
Answer:
The linear model means that there is a uniform increase and in this case of US population from 92 million people in 1910 to 250 million people in 1990
.
This means an increase of 250
−
92
=
158 million in 1990
-1910
=
80 years or
158
80
=
1.975 million per year and in x years it will become 92
+
1.975
x million people. This can be graphed using the linear function 1.975
(
x
−
1910
)
+
92
,
graph{1.975(x-1910)+92 [1890, 2000, 85, 260]}
The exponential model means that there is a uniform proportional increase i.e. say p
% every year and in this case of US population from 92 million people in 1910 to 250 million people in 1990
.
This means an increase of 250
−
92
=
158 million in 1990
−
1910
=
80 years or
p
% given by 92
(
1
+
p
)
80
=
250 which gives us (
1
+p
)
80
=
250
92 which simplifies to p
=
(
250
92
)
0.0125
−
1
=
0.0125743 or 1.25743
%
.
This can be graphed as an exponential function 92
×
1.0125743
(
x
−
1910
)
, which gives population in a year y and this appears as
graph{92(1.0125743^(x-1910)) [1900, 2000, 85, 260]}
Step-by-step explanation:
Hope this helps
